Towards single ion addressing in a 2D crystal of ⁴⁰Ca⁺

Two-dimensional (2D) Coulomb crystals of cold atomic ions are a proven resource for studies of quantum many-body physics and precision sensing. Single-site operations allow for fine control of many-body interactions in quantum simulation protocols such as quantum approximate optimization. We report progress towards individual ion addressing within a rotating 2D crystal of ⁴⁰Ca⁺ confined in a compact Penning trap constructed with permanent magnets. We address a subset of co-trapped ions using a stationary, narrow-linewidth 729 nm laser beam offset from the center of the rotating 2D array. Sub-Doppler cooling of 2D ion arrays in the compact trap will be described, and we will present a new compact Penning trap design utilizing printed circuit boards in place of extended electrodes.